Question

Find the value of K, if x = 1 is a factor of 4x3 + 3x2 - 4x + k​

Answer 1

Answer:

Find the value of K, if x = 1 is a factor of 4x3 + 3x2

4x + k

Step-by-step explanation:

$x = 1$

$Let \: p(x) = 4 {x}^{3} + 3 {x}^{2} - 4x + k$

$So, \: 4 {(x)}^{3} + 3 {(x})^{2} - 4x + k = 0$

$4 {(1})^{3} + 3 {(1})^{2} - 4(1) + k = 0$

$4 \times 1 + 3 \times 1 - 4 + k = 0$

$4 + 3 - 4 + k = 0$

$3 + k = 0$

$k = - 3$